activity
20062020
most citedThe largest eigenvalues of sample covariance matrices for a spiked population: diagonal case

52 citations · 104 across the 6 of their papers we have counts for

collaborators

7 papers

math.PR2020

Joint Global Fluctuations of complex Wigner and deterministic Matrices

Camile Male, James A. Mingo, Sandrine Péché +1

We characterize the limiting fluctuations of traces of several independent Wigner matrices and deterministic matrices under mild conditions. A CLT holds but in general the families…

math.PR2014★ 5 cited

Uniform regular weighted graphs with large degree: Wigner's law, asymptotic freeness and graphons limit

Camille Male, Sandrine Péché

For each , let be a simple random graph on the set of vertices , which is invariant by relabeling of the vertices. The asymptotic behavior as $N…

math.PR2014★ 36 cited

Beyond universality in random matrix theory

Alan Edelman, A. Guionnet, S. Péché

In order to have a better understanding of finite random matrices with non-Gaussian entries, we study the expansion of local eigenvalue statistics in both the bulk and at the…

math.PR2013

Largest eigenvalues and eigenvectors of band or sparse matrices

Florent Benaych-Georges, Sandrine Péché

In this text, we consider an N by N random matrix X such that all but o(N) rows of X have W non identically zero entries, the other rows having lass than entries (such as, for…

math.PR2009★ 11 cited

Eigenvectors of some large sample covariance matrix ensembles

Olivier Ledoit, Sandrine Péché

We consider sample covariance matrices where is a real or complex matrix with i.i.d. entries with finite $12^{\rm th…

math-ph2008★ 52 cited

The largest eigenvalues of sample covariance matrices for a spiked population: diagonal case

Delphine Féral, Sandrine Péché

We consider large complex random sample covariance matrices obtained from "spiked populations", that is when the true covariance matrix is diagonal with all but finitely many eigen…

math.PR2006

Large deviations for weighted empirical mean with outliers

Mylène Maïda, Jamal Najim, Sandrine Péché

We study in this article large deviations for the empirical mean of iid random vectors with some deterministic weights, whose empirical measure weakly converges to some compactly s…